Pith Number

pith:CO7VKGID

pith:2001:CO7VKGIDDVOYONFPUAOZXFIW5M

not attested not anchored not stored refs pending

Some Galois extensions of quadratic extensions associated with Witt rings

J\'an Min\'a\v{c}, Wenfeng Gao

arxiv:math/0110284 v1 · 2001-10-25 · math.GR · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CO7VKGIDDVOYONFPUAOZXFIW5M}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:05:37.516503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13bf5519031d5d8734afa01d9b9516eb21f97092c0923a6efdf71e7720d451d4

Aliases

arxiv: math/0110284 · arxiv_version: math/0110284v1 · doi: 10.48550/arxiv.math/0110284 · pith_short_12: CO7VKGIDDVOY · pith_short_16: CO7VKGIDDVOYONFP · pith_short_8: CO7VKGID

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CO7VKGIDDVOYONFPUAOZXFIW5M \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 13bf5519031d5d8734afa01d9b9516eb21f97092c0923a6efdf71e7720d451d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f88e3c7f9f0caca13c70ca99cc747b58d38ed7b219d9e3289d709efc740118cb",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2001-10-25T22:16:42Z",
    "title_canon_sha256": "b361e0016a2b082c0b32c76cb48303e26638f3c9de6b4d33418847d35c0de92c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0110284",
    "kind": "arxiv",
    "version": 1
  }
}